{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Дифференциальные уравнения в частных производных\n",
    "Рассмотрим несколько расчетов на примерах различной реализации решения уравнения Лапласа.\n",
    "\n",
    "#### Уравнение Лапласа"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<pde.tools.plotting.PlotReference at 0x1bf61788>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Уравнение Лапласа: Решение при помощи библиотек\n",
    "import numpy as np\n",
    "from pde import CartesianGrid, solve_laplace_equation\n",
    "\n",
    "grid = CartesianGrid([[0, 2 * np.pi]] * 2, 64)\n",
    "bcs = [{\"value\": \"sin(y)\"}, {\"value\": \"sin(x)\"}]\n",
    "bcs = [{\"value\": \"y\"}, {\"value\": \"6\"}]\n",
    "\n",
    "res = solve_laplace_equation(grid, bcs)\n",
    "res.plot()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Please wait for a moment\n",
      "Iteration finished\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Решение в конечных разностях\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "maxIter = 500\n",
    "lenX = lenY = 20 \n",
    "delta = 1\n",
    "\n",
    "# Boundary condition\n",
    "Ttop = 100\n",
    "Tbottom = 0\n",
    "Tleft = 0\n",
    "Tright = 0\n",
    "\n",
    "Tguess = 30\n",
    "colorinterpolation = 50\n",
    "colourMap = plt.cm.jet\n",
    "\n",
    "X, Y = np.meshgrid(np.arange(0, lenX), np.arange(0, lenY))\n",
    "T = np.empty((lenX, lenY))\n",
    "T.fill(Tguess)\n",
    "\n",
    "T[(lenY-1):, :] = Ttop\n",
    "T[:1, :] = Tbottom\n",
    "T[:, (lenX-1):] = Tright\n",
    "T[:, :1] = Tleft\n",
    "\n",
    "print(\"Please wait for a moment\")\n",
    "for iteration in range(0, maxIter):\n",
    "    for i in range(1, lenX-1, delta):\n",
    "        for j in range(1, lenY-1, delta):\n",
    "            T[i, j] = 0.25 * (T[i+1][j] + T[i-1][j] + T[i][j+1] + T[i][j-1])\n",
    "\n",
    "print(\"Iteration finished\")\n",
    "\n",
    "plt.title(\"Contour of Temperature\")\n",
    "plt.contourf(X, Y, T, colorinterpolation, cmap=colourMap)\n",
    "plt.colorbar()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Please wait for a moment\n",
      "Iteration finished\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Решение в конечных разностях: 2й вариант\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "maxIter = 500\n",
    "lenX = lenY = 20 #we set it rectangular\n",
    "delta = 1\n",
    "Ttop = 100\n",
    "Tbottom = 0\n",
    "Tleft = 0\n",
    "Tright = 30\n",
    "Tguess = 30\n",
    "\n",
    "colorinterpolation = 50\n",
    "colourMap = plt.cm.jet # colourMap = plt.cm.coolwarm\n",
    "\n",
    "# Set meshgrid\n",
    "X, Y = np.meshgrid(np.arange(0, lenX), np.arange(0, lenY))\n",
    "T = np.empty((lenX, lenY))\n",
    "T.fill(Tguess)\n",
    "T[(lenY-1):, :] = Ttop\n",
    "T[:1, :] = Tbottom\n",
    "T[:, (lenX-1):] = Tright\n",
    "T[:, :1] = Tleft\n",
    "print(\"Please wait for a moment\")\n",
    "for iteration in range(0, maxIter):\n",
    "    for i in range(1, lenX-1, delta):\n",
    "        for j in range(1, lenY-1, delta):\n",
    "            T[i, j] = 0.25 * (T[i+1][j] + T[i-1][j] + T[i][j+1] + T[i][j-1])\n",
    "\n",
    "print(\"Iteration finished\")\n",
    "plt.title(\"Contour of Temperature\")\n",
    "plt.contourf(X, Y, T, colorinterpolation, cmap=colourMap)\n",
    "plt.colorbar()\n",
    "plt.show()\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
